Hallo

I'm new in Mapleprimes and I'm looking forward to interesting discussions.

I was just wondering if and how it would be possible to use Maple for something like proving invariance of trace under unitary transformation.

So

tr(\Omega) = tr(U^{+} O U)

and

U^{+}U = I

After a number of reformulations, one arrives at an expression tr(O) = tr(U \Omega U^{+}).

Another example would be to show that (AB)^{-1} = B^{-1}A^{-1}....

 Numbers a, b, and c are randomly chosen from the interval [0,1]. What is the probability that the segments having  these lengths form a triangle? an acute triangle? How to solve it with Maple?

PS. I have in mind how to plot the subset of the unit cube such that the coordinates of its points satisfy the first/second condition and how to calculate its volume.

Hi,

I am new to Maple, so sorry for asking this TRIVIAL question but I got quite frustrated after so much time unsuccessfully trying to figure out how to perform integer computations.

Lets take the simple example below:

3k - 5 = 0

I wanna get k=1 not 5/3

Isolve doesn’t work  for this as I would like. Introduced assumptions re ignored:

Solve(3*k -5=0, k, useassumptions) assuming k :: nonnegint

I have a system with two nonlinear inequality. How can I solve the system?

Hi, I am trying to isolate the following expression for omega

a*(cos(omega)*cos(beta*omega)+b*sin(omega)*sin(beta*omega))+c*sin(beta*omega) = 0

However, when I try to do so I get a Warning - solutions may have been lost

Thanks for any help that can be offered

i have an error

Error, (in plots:-pointplot) number of elements in Vector must be a multiple of 2

that keeps popping up. What does it mean and how do I fix it?

The Physics package appears broken for the tensor product of Bras and Kets.
It is not possible to describe new operators creatde by the tensorial
product of operators on two Hilbert spaces. ie H12 = H1 X H2

Download BraKetTensorProduc.mw

Am I missing something here.

Thank you for your help

I'm trying to see when a matrix becomes singular, so I took its determinant and checked when it would vanish using solve.  The problem is that solve gives me a solution that doesn't satisfy the original equation, either symbolically or numerically.  Am I doing something wrong, or is this a bug in solve?

Here's what I'm getting:

WrongSolution.mw

I am doing a paper on the stability of a damp. This includes making a Cartesian expression of line of fracture in the subjacent earth layers.

I’ve attached the maple sheet that covers the following expressions.

The polar expression of the line of fracture is given by r(v)=r[0]*exp(v*tan(phi)), in which

r[0] and phi are constants and v is the angle.

To change the expression to a Cartesian coordinate system I introduce

r(v)=sqrt(x^2+y^2) and

Let's say I do this:

points:=[[285,0],[290,0],[300,0],[315,0],[325,0],[330,0],[335,0]]

The syntax example that my professor gave to get the sum of the points of the x-coordinate is as follows:

sum('points [k,1]', 'k'=1..7);

Now here's my question: how do I use the sum command to define a function that uses the Simpson's rule. I know I can't use the simpson's command since I'm dealing with a bunch of points and not a function.

How can I make the 3d plot of a function such as z = 4x^2 - y^2 so that only the part of the surface above the unit circle in the xy plane is shown?

Is Maple 15 compatible with Mac OS X Lion?  If not, when will it be so?

I would like to define a function f(a,b,c,....) sub that x * f(a,b,c,...) would return f(x*a,x*b,x*c,...). Is this something that is simple to do in the function definition or do I need to create a rule to apply?

I wish to manipulate the expression R*D^2 / ( R*D^2 + s*L + s^2*R*L*C ) in the way it will show as: 1 / ( 1 + s*L/(R*D^2) + s^2*L*C/D^2)

There are some function in maple that I could use?

I ever find to much hard make expression look as i want. In my view, one of the greats problems in maple.

Thanks

Hello,

I'm doing a math assignment for numerical methods and I had to answer a question - solving Newton's method in maple to submit. I need to solve the question to an accuracy of 10^-5. I don't have access to the software right now as I only have it on the computers at our school, but I did take a maple course in my first year of university and have some experience with it. I wrote up this formula, but I'm not 100% sure if its correct. Could someone...